66 citations · 66 across the 4 of their papers we have counts for
5 papers
Regularity of Minimizers for a General Class of Constrained Energies in Two-Dimensional Domains with Applications to Liquid Crystals
Patricia Bauman, Daniel Phillips
We investigate minimizers defined on a bounded domain in for singular constrained energy functionals that include Ball and Majumdar's modification of the Landau-…
Higher dimensional Ginzburg-Landau equations under weak anchoring boundary conditions
Patricia Bauman, Daniel Phillips, Changyou Wang
For and , let be a bounded smooth domain and solve the Ginzburg-Landau equation under the weak anchoring…
Dynamic Analysis of Chevron Structures in Liquid Crystal Cells
Lidia Mrad, Daniel Phillips
If a surface stabilized ferroelectric liquid crystal cell is cooled from the smectic-A to the smectic-C phase, its layers thin causing V-shaped (chevron like) defects to form. Thes…
Regularity and the Behavior of Eigenvalues for Minimizers of a Constrained -tensor Energy for Liquid Crystals
Patricia Bauman, Daniel Phillips
We investigate minimizers defined on a bounded domain in for the Maier--Saupe Q--tensor energy used to characterize nematic liquid crystal configurations. The energy…
Analysis of Nematic Liquid Crystals with Disclination Lines
P. Bauman, J. Park, D. Phillips
We investigate the structure of nematic liquid crystal thin films described by the Landau--de Gennes tensor-valued order parameter with Dirichlet boundary conditions of nonzero deg…